Question 1

A projectile is launched from the ground with an initial speed $$v_0 at an $$angle $$\$$theta_0$$ above the horizontal. Which of the following correctly expresses the horizontal and vertical components of the initial velocity?

Accepted Answer

$$v_{0x} = v_0$ \cos \$$theta_0$$, v$$_{0y} = $$v_0$$ \sin \$$theta_0$$

Question 2

A paintball is fired horizontally from a height of $$1.5\ \mathrm{m}$$ with a speed of $$75\ \mathrm{m/s}. $$How long does it take to hit the ground? (Neglect air resistance, $$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$0.553\ \mathrm{s}$$

Question 3

Which equation describes the vertical position $$y of a $$projectile as a function of time $$t$$, initial vertical velocity $$v_{0y}$$, and acceleration due to gravity $$g$$?

Accepted Answer

$$y = v_{0y} t - \frac{1}{2} g t^2$

Question 4

A baseball is hit with an initial speed of $$37\ \mathrm{m/s} at an $$angle of $$53.1^\circ$$ above the horizontal. What is the initial vertical velocity component?

Accepted Answer

$$v_{0y} = 37 \sin 53.1^\circ$$

Question 5

In the 'shoot the monkey' demonstration, a hunter aims directly at a monkey hanging from a branch. The instant the hunter fires, the monkey lets go and falls. If air resistance is negligible, what happens?

Accepted Answer

The dart will hit the monkey.

Question 6

A projectile is launched with an initial velocity $$v_0 at an $$angle $$\$$theta_0$$. What is the time to reach the maximum height?

Accepted Answer

$$t = \frac{v_0$ \sin \$$theta_0$$}{g}$$

Question 7

Which of the following best describes the horizontal acceleration $$a_x of a $$projectile (neglecting air resistance)?

Accepted Answer

$$a_x = 0$$

Question 8

A projectile is launched from the ground with speed $$v_0 at $$angle $$\$$theta_0$$. What is the total time of flight before it lands back on the ground?

Accepted Answer

$$t = \frac{2 v_0$ \sin \$$theta_0$$}{g}$$

Question 9

A projectile is launched horizontally from a cliff of height $$h$$ with speed $$v_0. $$What is the formula for the range (horizontal distance traveled before hitting the ground)?

Accepted Answer

$$R = v_0$ \sqrt{\frac{2h}{g}}$$

Question 10

Which of the following equations gives the maximum height $$h$$ reached by a projectile launched with initial vertical velocity $$v_{0y}$$?

Accepted Answer

$$h = \frac{v_{0y}^2}{2g}$$

Question 11

A soccer ball is kicked at $$20\ \mathrm{m/s} at an $$angle of $$30^\circ$$ above the horizontal. What is the horizontal component of its velocity?

Accepted Answer

$$v_{0x} = 20 \cos 30^\circ$$

Question 12

Which of the following statements about projectile motion is correct?

Accepted Answer

The vertical acceleration is constant and equal to $$-g.$$

Question 13

A projectile is launched at an angle $$\$$theta_0$$ with initial speed v_0$. What is the formula for the range R$ (horizontal distance traveled) on level ground?

Accepted Answer

$$R = \frac{v_0$^2 \sin 2\$$theta_0$$}{g}$$

Question 14

A ball is thrown horizontally from a $$10\ \mathrm{m}$$ high cliff with a speed of $$5\ \mathrm{m/s}. $$How far from the base of the cliff does the ball land? ($$g = 9.8\ \mathrm{m/s^2$})$$

Accepted Answer

$$7.15\ \mathrm{m}$$

Question 15

At the highest point of its trajectory, what is the vertical velocity of a projectile?

Accepted Answer

$$v_y = 0$$

Question 16

A projectile is launched with initial velocity $$v_0 at $$angle $$\$$theta_0$$. Which of the following gives the magnitude of the velocity at time t$?

Accepted Answer

$$v = \sqrt{v_{0x}^2 + (v_{0y} - g t)^2$}$$

Question 17

A projectile is launched from the ground at $$v_0$$ and $$\$$theta_0$$. If the launch angle is increased while keeping v_0$ constant, what happens to the range?

Accepted Answer

It increases up to $$45^\circ$$ then decreases.

Question 18

Which of the following is a correct expression for the launch angle $$\$$theta_0$$ in terms of velocity components?

Accepted Answer

$$	an \$$theta_0$$ = \frac{v_{0y}}{v_{0x}}$$

Projectile Motion: Motion in a Plane

Study Guide - Practice Questions

Study Guide - Flashcards